First Course in Differential Equations with Modeling Applications 10th Edition Zill Solutions Manual
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First Course in Differential Equations with Modeling Applications 10th Edition Zill Solutions Manual.
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This is completed downloadable of First Course in Differential Equations with Modeling Applications 10th Edition Zill Solutions Manual
Product Details:
- ISBN-10 : 1111827052
- ISBN-13 : 978-1111827052
- Author: Dennis Zill
A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 10th Edition strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This proven and accessible book speaks to beginning engineering and math students through a wealth of pedagogical aids, including an abundance of examples, explanations, “Remarks” boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides a thorough treatment of boundary-value problems and partial differential equations.
Table of Content:
- Ch 1: Introduction to Differential Equations
- Ch 1: Introduction
- 1.1: Definitions and Terminology
- 1.2: Initial-Value Problems
- 1.3: Differential Equations as Mathematical Models
- Chapter 1 in Review
- Ch 2: First-Order Differential Equations
- Ch 2: Introduction
- 2.1: Solution Curves Without a Solution
- 2.2: Separable Equations
- 2.3: Linear Equations
- 2.4: Exact Equations
- 2.5: Solutions by Substitutions
- 2.6: A Numerical Method
- Chapter 2 in Review
- Ch 3: Modeling With First-Order Differential Equations
- Ch 3: Introduction
- 3.1: Linear Models
- 3.2: Nonlinear Models
- 3.3: Modeling with Systems of First-Order DEs
- Chapter 3 in Review
- Ch 4: Higher-Order Differential Equations
- Ch 4: Introduction
- 4.1: Preliminary Theory—Linear Equations
- 4.2: Reduction of Order
- 4.3: Homogeneous Linear Equations with Constant Coefficients
- 4.4: Undetermined Coefficients—Superposition Approach
- 4.5: Undetermined Coefficients—Annihilator Approach
- 4.6: Variation of Parameters
- 4.7: Cauchy-Euler Equation
- 4.8: Green’s Functions
- 4.9: Solving Systems of Linear DEs by Elimination
- 4.10: Nonlinear Differential Equations
- Chapter 4 in Review
- Ch 5: Modeling With Higher-Order Differential Equations
- Ch 5: Introduction
- 5.1: Linear Models: Initial-Value Problems
- 5.2: Linear Models: Boundary-Value Problems
- 5.3 Nonlinear Models
- Chapter 5 in Review
- Ch 6: Series Solutions of Linear Equations
- Ch 6: Introduction
- 6.1: Review of Power Series
- 6.2: Solutions About Ordinary Points
- 6.3: Solutions About Singular Points
- 6.4: Special Functions
- Chapter 6 in Review
- Ch 7: The Laplace Transform
- Ch 7: Introduction
- 7.1: Definition of the Laplace Transform
- 7.2: Inverse Transforms and Transforms of Derivatives
- 7.3: Operational Properties I
- 7.4: Operational Properties II
- 7.5: The Dirac Delta Function
- 7.6: Systems of Linear Differential Equations
- Chapter 7 in Review
- Ch 8: Systems of Linear First-order Differential Equations
- Ch 8: Introduction
- 8.1: Preliminary Theory—Linear Systems
- 8.2: Homogeneous Linear Systems
- 8.3: Nonhomogeneous Linear Systems
- 8.4: Matrix Exponential
- Chapter 8 in Review
- Ch 9: Numerical Solutions of Ordinary Differential Equations
- Ch 9: Introduction
- 9.1: Euler Methods and Error Analysis
- 9.2: Runge-Kutta Methods
- 9.3: Multistep Methods
- 9.4: Higher-Order Equations and Systems
- 9.5: Second-Order Boundary-Value Problems
- Chapter 9 in Review
- Appendix I: Gamma Function
- Appendix II: Matrices
- Appendix III: Laplace Transforms
- Answers for Selected Odd-Numbered Problems
- Index
- BES-5
- BES-7
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